U-tiling: UQC2564
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1929 |
*222222 |
(2,6,5) |
{7,5} |
{4.4.6.3.6.4.4}{6.3.4.4.3} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc761
|
|
Pmmm |
47 |
orthorhombic |
{7,5} |
4 |
(2,6) |
|
G
|
False
|
|
sqc4819
|
|
C2/c |
15 |
monoclinic |
{5,7} |
8 |
(2,7) |
|
D
|
True
|
|
sqc4143
|
|
Imma |
74 |
orthorhombic |
{6,5} |
8 |
(2,6) |
Topological data
| Vertex degrees | {7,5} |
| 2D vertex symbol | {4.4.6.3.6.4.4}{6.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<111.1:96:25 50 51 6 7 32 33 58 59 72 37 74 75 18 19 44 45 82 83 96 86 87 30 31 94 95 84 62 63 42 43 70 71 60 85 54 55 92 93 73 66 67 80 81 78 79 90 91,2 4 17 54 8 10 12 14 16 78 20 22 24 26 28 41 90 32 34 36 38 40 66 44 46 48 50 52 77 56 58 60 62 64 89 68 70 72 74 76 80 82 84 86 88 92 94 96,13 3 5 7 9 11 60 15 17 19 21 23 84 37 27 29 31 33 35 96 39 41 43 45 47 72 73 51 53 55 57 59 85 63 65 67 69 71 75 77 79 81 83 87 89 91 93 95:4 3 6 4 4 4 3 4 4 3 3 6,5 7 7 5 7 7 5 5> {(1, 88): 'tau1', (2, 47): 'tau2*t3', (1, 77): 't2*tau3^-1', (0, 62): 't3^-1*tau2^-1', (0, 59): 't3', (0, 26): 'tau3^-1*t2', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (1, 76): 'tau1^-1', (0, 23): 't2', (0, 13): 'tau3*t2^-1', (0, 35): 't2^-1', (0, 49): 't3*tau2', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 59): 't3*tau2', (0, 24): 't1', (0, 14): 'tau3*t2^-1', (0, 36): 't1', (2, 23): 'tau3*t2^-1', (1, 53): 't3*tau2', (0, 61): 't3^-1*tau2^-1', (1, 89): 't2^-1*tau3', (0, 50): 't3*tau2', (0, 11): 't3', (2, 48): 'tau1', (0, 25): 'tau3^-1*t2', (2, 35): 'tau3^-1*t2', (1, 65): 't3^-1*tau2^-1', (2, 60): 'tau1^-1', }